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The task here is to reflect the given shape across the line \( y = -1 \).

### Steps to Reflect the Shape Over the Line \( y = -1 \):

1. **Identify the vertices** of the original shape. Looking at the grid, we can extract the coordinates of each vertex from the shape:
   - Top vertex: approximately \( (-7, -4) \)
   - Bottom-left vertex: approximately \( (-8, -7) \)
   - Bottom-right vertex: approximately \( (-5, -8) \)
   - Middle vertex: approximately \( (-6, -6) \)

2. **Find the distance from each point to the line \( y = -1 \)**. The reflection will mirror each point across the line \( y = -1 \). This means that the vertical distance of each point from the line will be preserved, but reflected on the opposite side.
   - For the point at \( (-7, -4) \), the vertical distance to \( y = -1 \) is \( -4 - (-1) = -3 \), so the reflected point will be \( (-7, -1 + 3) = (-7, 2) \).
   - For the point at \( (-8, -7) \), the vertical distance is \( -7 - (-1) = -6 \), so the reflected point will be \( (-8, -1 + 6) = (-8, 5) \).
   - For the point at \( (-5, -8) \), the vertical distance is \( -8 - (-1) = -7 \), so the reflected point will be \( (-5, -1 + 7) = (-5, 6) \).
   - For the point at \( (-6, -6) \), the vertical distance is \( -6 - (-1) = -5 \), so the reflected point will be \( (-6, -1 + 5) = (-6, 4) \).

3. **Plot the reflected points**:
   - The reflection of \( (-7, -4) \) is \( (-7, 2) \).
   - The reflection of \( (-8, -7) \) is \( (-8, 5) \).
   - The reflection of \( (-5, -8) \) is \( (-5, 6) \).
   - The reflection of \( (-6, -6) \) is \( (-6, 4) \).

### Summary of Reflected Points:
- \( (-7, 2) \)
- \( (-8, 5) \)
- \( (-5, 6) \)
- \( (-6, 4) \)

Now, the reflected shape can be plotted using these coordinates. Would you like further details on this reflection or assistance with another concept?

### Relative Questions:
1. How do you calculate the reflection of a point over a horizontal line?
2. Can you reflect a shape over a vertical line, and how would that differ from a horizontal reflection?
3. What transformations preserve the size and shape of a figure?
4. How would a reflection change if the line of reflection were not horizontal but diagonal?
5. What are the properties of congruent figures after reflection?

### Tip:
When reflecting over a horizontal line, only the \( y \)-coordinates change, while the \( x \)-coordinates remain the same.

Reflect the given geometric figure over the line y = -1.

Learn how to reflect a geometric figure over the line y = -1. This step-by-step solution involves identifying the original points, calculating the vertical distance to the line, and plotting the reflected points. Suitable for students in Grades 7-10.

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